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Finding the Third Proportional to 379,252 and 812,476

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Solution

The third proportional to 379,252 and 812,476 is: 1,740,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,252 : 812,476 = 812,476 : x
  2. Step 2: Convert to fraction form
    379,252/812,476 = 812,476/x
  3. Step 3: Cross multiply
    379,252x = 812,476 × 812,476
  4. Step 4: Simplify right side
    379,252x = 660,117,250,576
  5. Step 5: Solve for x
    x = 660,117,250,576/379,252
  6. Step 6: Final answer
    x = 1,740,576.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.